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2 years ago

If you invest $823 at an interest rate of 3% how much money will you have after nine years

Mathematics

1 answer:

Natalija [7]2 years ago

5 0

Answer:

The total money received after 9 years is $1045 .21.

Step-by-step explanation:

The Principal amount invested = $823

Rate of interest = 3%

The time interval = 9 years

Now, SIMPLE INTEREST = $\frac{P \times R \times T}{100}$

So, here SI = $\frac{823 \times 3 \times 9}{100} = 222.21$

or, Simple Interest = $222.21

Now,as we know AMOUNT = PRINCIPAL + SIMPLE INTEREST

So, A = $823 + $222.21

= $1045 .21

Hence, the total money received after 9 years is $1045 .21.

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Loretta grew 54 watermelons in her garden last year. This year, that number increased by 5/9. Which expression shows the number

Mars2501 [29]

Answer:

$54+\frac{5}{9}\times 54$

Step-by-step explanation:

We are given that

Loretta grew watermelons in her garden last year=54

We have to find the expression which shows the number of watermelons Loretta grew this year.

To find the expression which shows the number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .

According to question

5/9 of 54= $\frac{5}{9}\times 54$

Therefore, the expression which shows the number of watermelons Loretta grew this year

= $54+\frac{5}{9}\times 54$

6 0

2 years ago

Triangle DEF has vertices D(0,4), E(10,4), and F(5,9) Prove that the triangle is isosceles and a right triangle.

LUCKY_DIMON [66]

Answer:

darling, could you send a picture of the problem?

Step-by-step explanation:

8 0

3 years ago

Can you help me find each measure?

madam [21]

Answer:

Step-by-step explanation:

1. the measure for HJ you can already see, start from h and draw a line to J. The measure shows 63 degrees.

2. start at F and draw a line to G first. the measure shows 65 degrees. Now continue the line from where you stopped at G, to H. There's no measure but you can see it is in a semicircle. A semicircle is 180 degrees andthe other two angles are 63 and 65.

So...

180=63+65+GH

subtract to get GH

180-63-65= 52

so the measure GH is 52 degrees. The full measure you are trying to find is FGH thought. So ad the 65 and the 52.

FGH =117 degrees.

3. The meaure is CDE. CD as you can see is a right angles, so 90 degrees. But there is no measure for DE. If you look to the angle vertical from DE which is BA. It measures 40 degrees. DE and BA are vertical so they are congruent. If DE equals 40 and CD equals 90, put them together and you get 130.

CDE= 130 degrees

4. Next measure is BCD. We already know CD is a 90 degree angle but BC is blank. You can see the measure BCD is in a semi circle. A semicircle equals 180, CD equals 90, and BA equals 40

so...

180= 90+40+BC

so subtract

180-90-40= 50

BC =50

so add BC=50 and CD=90. SO, BCD is 140 degrees.

5.The angle LMN is next. MN is 30 but LM is blank. LMN is in a semi circle.

A semicircle is 180 degrees.

so...

180=105+30+LM

subtract

180-105-30=45

LM = 45

Add LM=45 and MN=30

LMN is 75 degrees.

6.The last angle is LNP

If you look at it MP is a semi circle, so 180 degrees. And LM is 45 from our last question. so 180 +45=225

LNP=225

hope this helps

4 0

3 years ago

When the smaller of two consecutive integers is added to two times the larger, the result is 17. Find the results.

GrogVix [38]

Is it the answer 7 and 2

4 0

2 years ago

The two triangles shown below are simiar. Which statement is true of the transformation from ABC to A' B' C'

AfilCa [17]

Answer: Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

Step-by-step explanation:

Since the triangles are similar, the ratio of their sides are equal.

And we can count the number of blocks over which AC and A'C' is drawn and take them to be their length,

Therefore,

AC = 16

A'C'= 8

Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

Measuring the tans of the angles by taking the ratio of opposite by adjacent, we get,

tanA = $\frac{10}{4}$

tanA'= $\frac{5}{2}$

which means tanA= tanA'

The angles do not change.

Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

8 0

2 years ago